392053889664 has 384 divisors, whose sum is σ = 1208144548800. Its totient is φ = 125071423488.

The previous prime is 392053889659. The next prime is 392053889671. The reversal of 392053889664 is 466988350293.

392053889664 is a `hidden beast` number, since 3 + 9 + 2 + 0 + 538 + 8 + 96 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574017067 + ... + 574017749.

Almost surely, 2^392053889664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392053889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604072274400).

392053889664 is an abundant number, since it is smaller than the sum of its proper divisors (816090659136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

392053889664 is an equidigital number, since it uses as much as digits as its factorization.

392053889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 392053889664 in words is "three hundred ninety-two billion, fifty-three million, eight hundred eighty-nine thousand, six hundred sixty-four".